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3 changes: 3 additions & 0 deletions .jules/bolt.md
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## 2025-05-14 - [Optimize synthetic embedding generation]
**Learning:** Performing per-dimension SHA-256 hashing (1536 hashes per vector) is a massive bottleneck. A single SHA-256 hash used as a seed for a Mulberry32 PRNG provides deterministic results with ~50x higher throughput. Additionally, `toFixed(8)` is significant overhead in hot loops due to string conversion; mathematical rounding is much more efficient.
**Action:** Replace per-iteration cryptographic hashes with seeded PRNGs for synthetic data generation. Use mathematical rounding instead of `toFixed` in performance-critical vector operations.
22 changes: 22 additions & 0 deletions packages/ai/src/benchmark.ts
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import { generateEmbedding } from "./index";

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async function benchmark() {
const text = "This is a test sentence for benchmarking synthetic embeddings.";
const iterations = 100;

console.log(`Benchmarking generateEmbedding (synthetic) with ${iterations} iterations...`);

const start = Date.now();
for (let i = 0; i < iterations; i++) {
await generateEmbedding(`${text} ${i}`, { forceSynthetic: true });
}
const end = Date.now();

const totalMs = end - start;
const avgMs = totalMs / iterations;
console.log(`Total time: ${totalMs}ms`);
console.log(`Average time per embedding: ${avgMs.toFixed(2)}ms`);
console.log(`Throughput: ${(1000 / avgMs).toFixed(2)} embeddings/sec`);
}

benchmark().catch(console.error);
26 changes: 26 additions & 0 deletions packages/ai/src/index.test.ts
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import { describe, expect, it } from "vitest";
import { generateEmbedding } from "./index";

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describe("synthetic embeddings", () => {
it("generates deterministic embeddings for the same input", async () => {
const text = "test deterministic";
const e1 = await generateEmbedding(text, { forceSynthetic: true });
const e2 = await generateEmbedding(text, { forceSynthetic: true });

expect(e1.values).toEqual(e2.values);
expect(e1.contentHash).toBe(e2.contentHash);
});

it("generates different embeddings for different inputs", async () => {
const e1 = await generateEmbedding("input one", { forceSynthetic: true });
const e2 = await generateEmbedding("input two", { forceSynthetic: true });

expect(e1.values).not.toEqual(e2.values);
});

it("produces normalized vectors", async () => {
const e = await generateEmbedding("test normalization", { forceSynthetic: true });
const magnitude = Math.sqrt(e.values.reduce((sum, v) => sum + v * v, 0));

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expect(magnitude).toBeCloseTo(1, 5);
});
});
60 changes: 44 additions & 16 deletions packages/ai/src/index.ts
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Expand Up @@ -15,35 +15,63 @@ const normalizeText = (value: string) => value.replace(/\s+/g, " ").trim();
const contentHashFor = (value: string) =>
crypto.createHash("sha256").update(normalizeText(value)).digest("hex");

const seededUnitValue = (seed: string, index: number) => {
const digest = crypto.createHash("sha256").update(`${seed}:${index}`).digest();
const int = digest.readUInt32BE(0);
return int / 0xffffffff;
/**
* Fast Mulberry32 PRNG for deterministic synthetic embedding generation.
* @see https://stackoverflow.com/a/47593316
*/
const mulberry32 = (a: number) => {
let seed = a;
return () => {
seed += 0x6d2b79f5;
let t = seed;
t = Math.imul(t ^ (t >>> 15), t | 1);
t ^= t + Math.imul(t ^ (t >>> 7), t | 61);
return ((t ^ (t >>> 14)) >>> 0) / 4294967296;
};
};

const syntheticVector = (text: string, dimensions = DEFAULT_EMBEDDING_DIMENSIONS) => {
const normalized = normalizeText(text);
const hash = contentHashFor(normalized);
const values = Array.from({
length: dimensions
}, (_, index) => {
const centered = seededUnitValue(hash, index) * 2 - 1;
return Number(centered.toFixed(8));
});
return normalizeVector(values);
// Use first 8 chars of hash as a 32-bit seed for the PRNG
const seed = Number.parseInt(hash.slice(0, 8), 16);
const rand = mulberry32(seed);

const values = new Array(dimensions);
for (let i = 0; i < dimensions; i++) {
values[i] = rand() * 2 - 1;
}

return values;
};

const normalizeVector = (values: number[]) => {
if (values.length === 0) {
const length = values.length;
if (length === 0) {
return values;
}

const magnitude = Math.sqrt(values.reduce((sum, value) => sum + value * value, 0));
let sumSq = 0;
for (let i = 0; i < length; i++) {
const v = values[i] as number;
sumSq += v * v;
}

const magnitude = Math.sqrt(sumSq);
if (magnitude === 0) {
return values.map(() => 0);
return new Array(length).fill(0);
}

const invMagnitude = 1 / magnitude;
const result = new Array(length);
for (let i = 0; i < length; i++) {
// Perform normalization and round to 8 decimal places in one pass
// Use Math.round for better performance than .toFixed(8)
const normalized = (values[i] as number) * invMagnitude;
result[i] = Math.round(normalized * 1e8) / 1e8;
}

return values.map((value) => Number((value / magnitude).toFixed(8)));
return result;
};

const toEmbeddingVectorRecord = (
Expand Down Expand Up @@ -127,7 +155,7 @@ const callOpenAiEmbeddings = async (
const data = payload.data ?? [];
return data
.sort((left, right) => (left.index ?? 0) - (right.index ?? 0))
.map((record) => normalizeVector(record.embedding ?? []));
.map((record) => record.embedding ?? []);
};

const embedBatchLive = async (
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